Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
492 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #14558010 | C2 | semidirect |
| 4. #14557630 | C2 | semidirect |
| 5. #14557624 | C2 | semidirect |
| 6. #14557569 | C2 | semidirect |
| 7. #14557543 | C2 | semidirect |
| 8. #14557491 | C2 | semidirect |
| 11. C2×#10596940 | C4 | semidirect |
| 16. #11924501 | C22 | semidirect |
| 23. #11924469 | C22 | semidirect |
| 24. #11924467 | C22 | semidirect |
| 25. #11924461 | C22 | semidirect |
| 26. #11924446 | C22 | semidirect |
| 27. C8×Dic37 | C22 | semidirect |
| 42. C2×Dic74 | C2×C4 | semidirect |
| 52. #10596940 | C2×C4 | semidirect |
| 53. #10596940 | C2×C4 | semidirect |
| 60. C2×#64436 | C2×C4 | semidirect |
| 113. C37 | #2949 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596940 | 2 |
| #14558010 | 2 |
| #14558008 | 2 |
| #14557630 | 2 |
| #14557624 | 2 |
| #14557569 | 2 |
| #14557543 | 2 |
| #14557491 | 2 |
| C37×#418 | 2 |
| #2949 | 37 |